GCD of 780, 140, 105, 709 Calculator

Given Input numbers are 780, 140, 105, 709

In the factoring method, we have to find the divisors of all numbers

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

GCD of numbers is the greatest common divisor

So, the GCD (780, 140, 105, 709) = 1.

Given numbers are 780, 140, 105, 709

The list of prime factors of all numbers are

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 105 are 3 x 5 x 7

Prime factors of 709 are 709

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 780, 140, 105, 709

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(780, 140) = 5460

GCD(780, 140) = ( 780 x 140 ) / 5460

= 780 / 140

= 780

Step2:

LCM(20, 105) = 420

GCD(20, 105) = ( 20 x 105 ) / 420

= 20 / 105

= 20

Step3:

LCM(5, 709) = 3545

GCD(5, 709) = ( 5 x 709 ) / 3545

= 5 / 709

= 5

So, Greatest Common Divisor of 780, 140, 105, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 117, 332, 702
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Given numbers are 780, 140, 105, 709
The greatest common divisor of numbers 780, 140, 105, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 140, 105, 709 is 1.

1. What is the GCD of 780, 140, 105, 709?

GCD of given numbers 780, 140, 105, 709 is 1

2. How to calculate the greatest common divisor of 780, 140, 105, 709?

We can find the highest common divisor of 780, 140, 105, 709 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 780, 140, 105, 709 i.e 1.

3. How can I use the GCD of 780, 140, 105, 709Calculator?

Out the numbers 780, 140, 105, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.